On the Existence and Exponential Attractivity of a Unique Positive Almost Periodic Solution to an Impulsive Hematopoiesis Model with Delays

[1]  Martin Bohner,et al.  Impulsive differential equations: Periodic solutions and applications , 2015, Autom..

[2]  Bingwen Liu,et al.  New results on the positive almost periodic solutions for a model of hematopoiesis , 2014 .

[3]  Bingwen Liu.  Almost periodic solutions for a delayed Nicholson’s blowflies model with a nonlinear density-dependent mortality term , 2014 .

[4]  Xinyu Song,et al.  Periodic solutions and homoclinic bifurcation of a predator–prey system with two types of harvesting , 2013 .

[5]  Elena Braverman,et al.  Mackey-Glass model of hematopoiesis with non-monotone feedback: Stability, oscillation and control , 2013, Appl. Math. Comput..

[6]  Junxia Meng,et al.  The positive almost periodic solution for Nicholson-type delay systems with linear harvesting terms☆ , 2012 .

[7]  Fei Long.  Positive almost periodic solution for a class of Nicholson’s blowflies model with a linear harvesting term , 2012 .

[8]  G. Stamov,et al.  Almost Periodic Solutions of Impulsive Differential Equations , 2012 .

[9]  Tianqing An,et al.  The existence of periodic solutions of non-autonomous second-order Hamiltonian systems , 2011 .

[10]  Xiaodan Wei,et al.  Uniqueness of positive solutions for an elliptic system , 2011 .

[11]  Peixuan Weng,et al.  Global attractivity of almost-periodic solution in a model of hematopoiesis with feedback control , 2011 .

[12]  Daoyi Xu,et al.  Globally exponential stability of periodic solutions for impulsive neutral-type neural networks with delays , 2011 .

[13]  Hal L. Smith,et al.  An introduction to delay differential equations with applications to the life sciences / Hal Smith , 2010 .

[14]  Elena Braverman,et al.  Nicholson's blowflies differential equations revisited: Main results and open problems , 2010 .

[15]  J. Neustupa.  A New Approach to the Existence of Weak Solutions of the Steady Navier–Stokes System with Inhomogeneous Boundary Data in Domains with Noncompact Boundaries , 2010 .

[16]  Hao Zhang,et al.  A new approach to the existence, nonexistence and uniqueness of positive almost periodic solution for a model of Hematopoiesis , 2010 .

[17]  Juan J. Nieto,et al.  Existence and Exponential Stability of Positive Almost Periodic Solutions for a Model of Hematopoiesis , 2009 .

[18]  Jurang Yan,et al.  Existence and global attractivity of unique positive periodic solution for a model of hematopoiesis , 2007 .

[19]  Jingwen Li,et al.  A necessary and sufficient condition for the existence of positive periodic solutions of a model of hematopoiesis , 2007, Comput. Math. Appl..

[20]  G. Ladas,et al.  Oscillation Theory of Delay Differential Equations: With Applications , 1992 .

[21]  N. Lloyd,et al.  ALMOST PERIODIC FUNCTIONS AND DIFFERENTIAL EQUATIONS , 1984 .

[22]  L. Glass,et al.  Oscillation and chaos in physiological control systems. , 1977, Science.

[23]  Richard K. Miller.  On almost periodic differential equations , 1964 .

[24]  Jonas Gloeckner,et al.  Impulsive Differential Equations , 2016 .

[25]  H. Ding,et al.  EXISTENCE OF POSITIVE ALMOST PERIODIC SOLUTIONS FOR A NICHOLSON’S BLOWFLIES MODEL , 2015 .

[26]  Lijuan Wang,et al.  Existence and exponential convergence of the positive almost periodic solution for a model of hematopoiesis , 2013, Appl. Math. Lett..

[27]  A. Trinh.  EXISTENCE AND GLOBAL ASYMPTOTIC STABILITY OF POSITIVE PERIODIC SOLUTIONS OF A LOTKA-VOLTERRA TYPE COMPETITION SYSTEMS WITH DELAYS AND FEEDBACK CONTROLS , 2013 .

[28]  Bingwen Liu.  Global dynamic behaviors for a delayed Nicholson's blowflies model with a linear harvesting term , 2013 .

[29]  Xiaodi Li,et al.  Global Exponential Stability of Delay Neural Networks with Impulsive Perturbations , 2010 .